文献类型：期刊文献

英文题名：Lower bounds for eigenvalues of finsler manifolds

作者：SHEN, ZHONGMIN[1]; YUAN, LIXIA[2]; ZHAO, WEI[3]

机构：[1] Department of Mathematical Sciences, Indiana University, Purdue University Indi-anapolis, Indiana, United States; [2] School of Mathematics and Physics, Shanghai Normal University, Shanghai, China; [3] Department of Mathematics, East China University of Science and Technology, Shanghai, China

年份：2018

外文期刊名：arXiv

收录：EI(收录号：20200091121)

语种：英文

外文关键词：Eigenvalues and eigenfunctions

摘要：In this paper, we study the spectrums of faithful dimension pairs on a closed Finsler manifold and obtain a Gromov type and a Buser type lower bounds for eigenvalues. Furthermore, for the Lusternik-Schnirelmann spectrum, we not only obtain a better lower bound, but also estimate the multiplicity of each eigenvalue. Copyright ? 2018, The Authors. All rights reserved.